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A multi-species generalization of the asymmetric simple exclusion process (ASEP) is studied in ordered sequential and sub-lattice parallel updating schemes. In this model particles hop with their own specific probabilities to their…

统计力学 · 物理学 2009-10-31 M. E. Fouladvand , F. Jafarpour

The asymmetric simple exclusion process (ASEP) is a paradigmatic nonequilibrium many-body system that describes the asymmetric random walk of particles with exclusion interactions in a lattice. Although the ASEP is recognized as an exactly…

统计力学 · 物理学 2024-03-05 Yuki Ishiguro , Jun Sato

The asymmetric simple exclusion process (ASEP) is a paradigm for non-equilibrium physics that appears as a building block to model various low-dimensional transport phenomena, ranging from intracellular traffic to quantum dots. We review…

统计力学 · 物理学 2015-05-27 Kirone Mallick

We study the one-dimensional asymmetric simple exclusion process (ASEP) with open boundary conditions. Particles are injected and ejected at both boundaries. It is clarified that the steady state of the model is intimately related to the…

统计力学 · 物理学 2009-11-10 Masaru Uchiyama , Tomohiro Sasamoto , Miki Wadati

Using the matrix product formalism we formulate a natural p-species generalization of the asymmetric simple exclusion process. In this model particles hop with their own specific rate and fast particles can overtake slow ones with a rate…

统计力学 · 物理学 2016-08-31 V. Karimipour

A multi-species generalization of the Asymmetric Simple Exclusion Process (ASEP) has been considered in the presence of a single impurity on a ring. The model describes particles hopping in one direction with stochastic dynamics and hard…

统计力学 · 物理学 2009-11-07 Farhad H Jafarpour

We show that in the asymmetric simple exclusion process (ASEP) on a ring, conditioned on carrying a large flux, the particle experience an effective long-range potential which in the limit of very large flux takes the simple form $U=…

统计力学 · 物理学 2010-07-29 Vladislav Popkov , Gunter M. Schütz , Damien Simon

We investigate the correlation functions of the one-dimensional Asymmetric Simple Exclusion Process (ASEP) with open boundaries. The conditions for the boundaries are made most general. The correlation function is expressed in a multifold…

统计力学 · 物理学 2015-06-24 Masaru Uchiyama , Miki Wadati

We consider a multi-species generalization of the Asymmetric Simple Exclusion Process on an open chain, in which particles hop with their characteristic hopping rates and fast particles can overtake slow ones. The number of species is…

统计力学 · 物理学 2012-07-27 M. Khorrami , V. Karimipour

We investigate a balance network of the asymmetric simple exclusion process (ASEP). Subsystems consisting of ASEPs are connected by bidirectional links with each other, which results in balance between every pair of subsystems. The network…

统计力学 · 物理学 2013-02-18 Takahiro Ezaki , Katsuhiro Nishinari

Research in combinatorics has often explored the asymmetric simple exclusion process (ASEP). The ASEP, inspired by examples from statistical mechanics, involves particles of various species moving around a lattice. With the traditional ASEP…

组合数学 · 数学 2024-11-21 David W. Ash

The asymmetric simple exclusion exclusion process (ASEP) is a model of particles hopping on a one-dimensional lattice of n sites. It was introduced around 1970, and since then has been extensively studied by researchers in statistical…

组合数学 · 数学 2020-01-15 Sylvie Corteel , Olya Mandelshtam , Lauren Williams

The asymmetric simple exclusion process (ASEP) is a model for translation in protein synthesis and traffic flow; it can be defined as a Markov chain describing particles hopping on a one-dimensional lattice. In this article I give an…

组合数学 · 数学 2022-02-02 Lauren K. Williams

The asymmetric simple exclusion process (ASEP) is a fundamental stochastic model describing asymmetric many-particle diffusion with hard-core interactions on a one-dimensional lattice, and has been widely applied in the study of…

统计力学 · 物理学 2026-03-11 Yuki Ishiguro , Yasunobu Ando

A system consisting of two parallel coupled channels where particles in one of them follow the rules of totally asymmetric exclusion processes (TASEP) and in another one move as in symmetric simple exclusion processes (SSEP) is investigated…

统计力学 · 物理学 2009-11-13 K. Tsekouras , A. B. Kolomeisky

The behaviour of extended particles with exclusion interaction on a one-dimensional lattice is investigated. The basic model is called $\ell$-ASEP as a generalization of the asymmetric exclusion process (ASEP) to particles of arbitrary…

统计力学 · 物理学 2015-06-24 G. Schoenherr , G. M. Schuetz

We study the steady state of the two-species Asymmetric Simple Exclusion Process (ASEP) with open boundary conditions. The matrix product method works for the determination of the stationary probability distribution. Several physical…

统计力学 · 物理学 2007-05-23 Masaru Uchiyama

In non-equilibrium statistical mechanics, the Asymmetric Simple Exclusion Process (ASEP) serves as a paradigmatic example. We investigate the spectral characteristics of the ASEP, focusing on the spectral boundary of its generator matrix.…

统计力学 · 物理学 2024-02-02 Goran Nakerst , Tomaž Prosen , Masudul Haque

We introduce a multi-species generalization of the asymmetric simple exclusion process (ASEP) with a ``no-passing" constraint, forbidding overtaking, on a one-dimensional open chain. This no-passing rule fragments the Hilbert space into an…

统计力学 · 物理学 2025-04-25 Urei Miura

The asymmetric simple exclusion process (ASEP) is a paradigmatic driven-diffusive system that describes the asymmetric diffusion of particles with hardcore interactions in a lattice. Although the ASEP is known as an exactly solvable model,…

统计力学 · 物理学 2024-05-16 Yuki Ishiguro , Jun Sato
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